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Review of: "An Optimal Control for Ebola Virus Disease with a Convex Incidence Rate: Imputing from the Outbreak in Uganda"

Article scientifique 2023 Anglais

Résumé

The authors formulate a compartmental model given by six ordinary differential equations to describe the transmission of Ebola virus disease.A qualitative analysis and numerical experiments of the model are performed.Then, an optimal control problem is formulated to find cost-effective solutions.This problem is solved numerically. CommentsMajor remarks 1.In Page 4, authors may have to check their hypothesis H2 again on the convex incidence rate ( , , , ).2. In Page 6, in the transmission flow diagram, you indicated that recovered individuals can become susceptible again, do you have any literature or reference that talk about that assertion?3.In Page 7, authors stated that "In this work, an assumption that the overall death rate ( + 0 + 1 ) is greater than or equal to the cremation/burial rate (s) is made.If this condition is not met, it implies that the deceased individuals totally disappear from the community and the class of D in the model is inappropriate."I'm confused with the above statement.Please check it again carefully.4. The authors study their model without investigating the model properties: existence, positivity and uniqueness of solutions.I suggest that they should establish the basis properties of the model.5. I'm not convinced that the expression of the disease-free equilibrium point given in page 7, Section 2.1.1,is correct.Since authors have defined the compartment D in page 4 as "the dead sub population D(t), individuals who die both a natural death and EVD induced death."6.In Page 8, I'm not convinced that the expression of the reproduction number 0 (2.5) is correct.Please check it again carefully.7.In Page 9, I'm not convinced that systems (2.7) and (2.8) are correct.For instance: the expression of 2 is not correct.Please authors should correct it.8. I'm confused that the authors have defined parameters 0, 1 two times differently in the manuscript.Please they

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Jacques, K. (2023). Review of: "An Optimal Control for Ebola Virus Disease with a Convex Incidence Rate: Imputing from the Outbreak in Uganda". https://doi.org/10.32388/nmjjq5

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